Optical filter and sensor system

ABSTRACT

An optical filter having a passband at least partially overlapping with a wavelength range of 800 nm to 1100 nm is provided. The optical filter includes a filter stack formed of hydrogenated silicon layers and lower-refractive index layers stacked in alternation. The hydrogenated silicon layers each have a refractive index of greater than 3 over the wavelength range of 800 nm to 1100 nm and an extinction coefficient of less than 0.0005 over the wavelength range of 800 nm to 1100 nm.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application claims priority from U.S. Provisional Patent Application No. 61/672,164 to Hendrix, et al., filed on Jul. 16, 2012, which is incorporated herein by reference.

TECHNICAL FIELD OF THE INVENTION

The present invention relates to optical filters and to sensor systems comprising optical filters. More particularly, the present invention relates to optical filters including hydrogenated silicon layers and to sensor systems comprising such optical filters.

BACKGROUND OF THE INVENTION

In a typical gesture-recognition system, a light source emits near-infrared light towards a user. A three-dimensional (3D) image sensor detects the emitted light that is reflected by the user to provide a 3D image of the user. A processing system then analyzes the 3D image to recognize a gesture made by the user.

An optical filter, more specifically, a bandpass filter, is used to transmit the emitted light to the 3D image sensor, while substantially blocking ambient light. In other words, the optical filter serves to screen out ambient light. Therefore, an optical filter having a narrow passband in the near-infrared wavelength range, i.e., 800 nm to 1100 nm, is required. Furthermore, the optical filter must have a high transmittance level within the passband and a high blocking level outside of the passband.

Conventionally, the optical filter includes a filter stack and a blocking stack, coated on opposite surfaces of a substrate. Each of the stacks is formed of high-refractive-index layers and low-refractive-index layers stacked in alternation. Different oxides are, generally, used for the high-refractive-index layers and the low-refractive-index layers, such as TiO₂, Nb₂O₅, Ta₂O₅, SiO₂, and mixtures thereof. For example, some conventional optical filters include a TiO₂/SiO₂ filter stack and a Ta₂O₅/SiO₂ blocking stack, in which the high-refractive index layers are composed of TiO₂ or Ta₂O₅, respectively, and the low-refractive-index layers are composed of SiO₂.

In a first conventional optical filter designed to transmit light in a wavelength range of 829 nm to 859 nm over an incidence angle range of 0° to 30°, the filter stack includes 71 layers, the blocking stack includes 140 layers, and the total coating thickness is about 24 μm. Transmission spectra 100 and 101 at incidence angles of 0° and 30°, respectively, for this optical filter are plotted in FIG. 1. In a second conventional optical filter designed to transmit light at a wavelength of 825 nm over an incidence angle range of 0° to 20°, the filter stack includes 43 layers, the blocking stack includes 82 layers, and the total coating thickness is about 14 μm. Transmission spectra 200 and 201 at incidence angles of 0° and 20°, respectively, for this optical filter are plotted in FIG. 2. In a third conventional optical filter designed to transmit light in a wavelength range of 845 nm to 865 nm over an incidence angle range of 0° to 24°, the filter stack includes 77 layers, the blocking stack includes 148 layers, and the total coating thickness is about 26 μm. Transmission spectra 300 and 301 at incidence angles of 0° and 24°, respectively, for this optical filter are plotted in FIG. 3.

With reference to FIGS. 1-3, the first, second, and third conventional optical filters, generally, have a high transmittance level within the passband and a high blocking level outside of the passband. However, the center wavelength of the passband undergoes a relatively large shift with change in incidence angle. Consequently, the passband must be relatively wide to accept light over the required incidence angle range, increasing the amount of ambient light that is transmitted and reducing the signal-to-noise ratio of systems incorporating these conventional optical filters. Furthermore, the large number of layers in the filter stacks and blocking stacks increases the expense and coating time involved in fabricating these conventional optical filters. The large total coating thickness also makes these conventional optical filters difficult to pattern, e.g., by photolithography.

To enhance the performance of the optical filter in the gesture-recognition system, it would be desirable to reduce the number of layers, the total coating thickness, and the center-wavelength shift with change in incidence angle. One approach is to use a material having a higher refractive index than conventional oxides over the wavelength range of 800 nm to 1100 nm for the high-refractive-index layers. In addition to a higher refractive index, the material must have also have a low extinction coefficient over the wavelength range of 800 nm to 1100 nm in order to provide a high transmittance level within the passband.

The use of hydrogenated silicon (Si:H) for high-refractive-index layers in optical filters is disclosed by Lairson, et al. in an article entitled “Reduced Angle-Shift Infrared Bandpass Filter Coatings” (Proceedings of the SPIE, 2007, Vol. 6545, pp. 65451C-1-65451C-5), and by Gibbons, et al. in an article entitled “Development and Implementation of a Hydrogenated a-Si Reactive Sputter Deposition Process” (Proceedings of the Annual Technical Conference, Society of Vacuum Coaters, 2007, Vol. 50, pp. 327-330). Lairson, et al. disclose a hydrogenated silicon material having a refractive index of 3.2 at a wavelength of 1500 nm and an extinction coefficient of less than 0.001 at wavelengths of greater than 1000 nm. Gibbons, et al. disclose a hydrogenated silicon material, produced by alternating current (AC) sputtering, having a refractive index of 3.2 at a wavelength of 830 nm and an extinction coefficient of 0.0005 at a wavelength of 830 nm. Unfortunately, these hydrogenated silicon materials do not have a suitably low extinction coefficient over the wavelength range of 800 nm to 1100 nm.

SUMMARY OF THE INVENTION

Accordingly, the present invention relates to an optical filter having a passband at least partially overlapping with a wavelength range of 800 nm to 1100 nm, comprising: a filter stack including: a plurality of hydrogenated silicon layers each having a refractive index of greater than 3 over the wavelength range of 800 nm to 1100 nm and an extinction coefficient of less than 0.0005 over the wavelength range of 800 nm to 1100 nm; and a plurality of lower-refractive-index layers each having a refractive index of less than 3 over the wavelength range of 800 nm to 1100 nm, stacked in alternation with the plurality of hydrogenated silicon layers.

The present invention also relates to a sensor system comprising: a light source for emitting light at an emission wavelength in a wavelength range of 800 nm to 1100 nm; an optical filter having a passband including the emission wavelength and at least partially overlapping with the wavelength range of 800 nm to 1100 nm, disposed to receive the emitted light, for transmitting the emitted light while substantially blocking ambient light, comprising: a filter stack including: a plurality of hydrogenated silicon layers each having a refractive index of greater than 3 over the wavelength range of 800 nm to 1100 nm and an extinction coefficient of less than 0.0005 over the wavelength range of 800 nm to 1100 nm; and a plurality of lower-refractive-index layers each having a refractive index of less than 3 over the wavelength range of 800 nm to 1100 nm, stacked in alternation with the plurality of hydrogenated silicon layers; and a sensor, disposed to receive the emitted light after transmission by the optical filter, for detecting the emitted light.

BRIEF DESCRIPTION OF THE DRAWINGS

The present invention will be described in greater detail with reference to the accompanying drawings wherein:

FIG. 1 is a plot of transmittance spectra at incidence angles of 0° and 30° for a first conventional optical filter;

FIG. 2 is a plot of transmittance spectra at incidence angles of 0° and 20° for a second conventional optical filter;

FIG. 3 is a plot of transmittance spectra at incidence angles of 0° and 24° for a third conventional optical filter;

FIG. 4 is a schematic illustration of a sputter-deposition system;

FIG. 5A is a plot of transmittance spectra for 1500-nm-thick silicon layers deposited in the presence and absence of hydrogen;

FIG. 5B is a plot of the absorption-edge wavelength at a transmittance level of 50% against hydrogen flow rate for hydrogenated silicon (Si:H) layers before and after an annealing step;

FIG. 5C is a plot of refractive index at wavelengths of 800 nm to 1120 nm against hydrogen flow rate for hydrogenated silicon layers;

FIG. 5D is a plot of absorption coefficient at wavelengths of 800 nm to 880 nm against hydrogen flow rate for hydrogenated silicon layers;

FIG. 6 is a schematic illustration of a cross-section of an optical filter according to the present invention;

FIG. 7A is a table comparing properties of the first conventional optical filter of FIG. 1 and a first exemplary optical filter according to the present invention;

FIG. 7B is a table listing layer numbers, materials, and thicknesses for the antireflective (AR) coating of the first exemplary optical filter;

FIG. 7C is a table listing layer numbers, materials, and thicknesses for the filter stack of the first exemplary optical filter;

FIG. 7D is a plot of transmittance spectra at incidence angles of 0° and 30° for the first exemplary optical filter;

FIG. 7E is a plot of transmittance spectra at incidence angles of 0° and 30° for an optical filter analogous to the first exemplary optical filter, but including an Si/SiO₂ filter stack;

FIG. 8A is a table comparing properties of the second conventional optical filter of FIG. 2 and a second exemplary optical filter according to the present invention;

FIG. 8B is a table listing layer numbers, materials, and thicknesses for the filter stack of the second exemplary optical filter;

FIG. 8C is a plot of transmittance spectra at incidence angles of 0° and 20° for the second exemplary optical filter;

FIG. 8D is a plot of transmittance spectra at incidence angles of 0° and 20° for an optical filter analogous to the second exemplary optical filter, but including an Si/SiO₂ filter stack;

FIG. 9A is a table listing layer numbers, materials, and thicknesses for the filter stack of a third exemplary optical filter according to the present invention;

FIG. 9B is a plot of transmittance spectra at incidence angles of 0° and 40° for the third exemplary optical filter; and

FIG. 10 is a block diagram of a sensor system according to the present invention.

DETAILED DESCRIPTION OF THE INVENTION

The present invention provides an optical filter including hydrogenated silicon (Si:H) layers, which is particularly suitable for use in a sensor system, such as a proximity sensor system, a three-dimensional (3D) imaging system, or a gesture-recognition system.

The optical filter of the present invention uses an improved hydrogenated silicon material, which has both a high refractive index and a low absorption coefficient over a wavelength range of 800 nm to 1100 nm, i.e., in the near-infrared wavelength range. Typically, the hydrogenated silicon material is amorphous. The hydrogenated silicon material is, preferably, produced by pulsed direct current (DC) sputtering. A sputter-deposition system suitable for producing the hydrogenated silicon material is described in U.S. Pat. No. 8,163,144 to Tilsch, et al., issued on Apr. 24, 2012, which is incorporated herein by reference.

With reference to FIG. 4, a typical sputter-deposition system 400 used to produce the hydrogenated silicon material includes a vacuum chamber 410, a substrate 420, a cathode 430, a cathode power supply 440, an anode 450, a plasma activation source (PAS) 460, and a PAS power supply 470. The cathode 430 is powered by the cathode power supply 440, which is a pulsed DC power supply. The PAS 460 is powered by the PAS power supply 470, which is a radio frequency (RF) power supply.

The cathode 430 includes a silicon target 431, which is sputtered in the presence of hydrogen (H₂), as well as an inert gas such as argon, to deposit the hydrogenated silicon material as a layer on the substrate 420. The inert gas is introduced into the vacuum chamber 410 through the anode 450 and the PAS 460. Alternatively, the walls of the vacuum chamber 410 may serve as the anode, and the inert gas may be introduced at a different location.

Hydrogen is introduced into the vacuum chamber 410 through the PAS 460, which serves to activate the hydrogen. Activated hydrogen is more chemically reactive and is, therefore, more likely to create Si—H bonds, which are thought to be responsible for the optical properties of the hydrogenated silicon material. The PAS 460 is located very close to the cathode 430, allowing the PAS plasma and the cathode plasma to overlap. Both atomic and molecular species of activated hydrogen are believed to be present in the plasmas. The use of the PAS 460 allows the hydrogenated silicon layer to be deposited at a relatively high deposition rate with a relatively low hydrogen content. Typically, the hydrogenated silicon layer is deposited at a deposition rate of 0.05 nm/s to 1.2 nm/s, preferably, at a deposition rate of about 0.8 nm/s. Alternatively, the cathode plasma alone may be used for hydrogen activation.

The optical properties of the hydrogenated silicon material depend primarily on the hydrogen content in the vacuum chamber 410 and, therefore, on the hydrogen flow rate. However, they are also influenced by other parameters, such as the flow rate of the inert gas, the PAS power level, the cathode power level, and the deposition rate.

FIG. 5A shows transmission spectra 500 and 501 for 1500-nm-thick silicon layers deposited in the presence of hydrogen, at a hydrogen flow rate of 139 sccm, and in the absence of hydrogen, respectively. The silicon layer deposited in the presence of hydrogen, i.e., the hydrogenated silicon layer, has a significantly higher transmittance level over the wavelength range of 800 nm to 1100 nm.

FIG. 5B shows curves 510 and 511 of the absorption-edge wavelength at a transmittance level of 50% against hydrogen flow rate for hydrogenated silicon layers before and after an annealing step, respectively. For the as-deposited hydrogenated silicon layers, the absorption-edge wavelength decreases with increasing hydrogen flow rate. Generally, the absorption-edge wavelength varies approximately logarithmically with hydrogen flow rate. The absorption-edge wavelength is decreased further by the annealing step, which was carried out at a temperature of about 300° C. for about 60 minutes. Typically, when an optional post-coating annealing step is performed, the hydrogenated silicon layers are annealed at a temperature of up to 350° C. for up to 120 minutes, preferably, at a temperature of 250° C. to 350° C. for 30 to 90 minutes. In some instances, more than one annealing step may be performed.

Thus, the absorption-edge wavelength of the hydrogenated silicon material can be tuned by adjusting the hydrogen flow rate and, optionally, by annealing. Likewise, the refractive index and the absorption coefficient of the hydrogenated silicon material can also can be tuned by adjusting the hydrogen flow rate and, optionally, by annealing. Typically, the hydrogenated silicon layers are deposited with a hydrogen flow rate of greater than 80 sccm, preferably, a hydrogen flow rate of about 80 sccm. However, it should be noted that the hydrogen content associated with this flow rate will depend on the pumping speed of the vacuum system.

FIG. 5C shows a plot of refractive index at wavelengths of 800 nm to 1120 nm against hydrogen flow rate for as-deposited hydrogenated silicon layers. The refractive index decreases with increasing hydrogen flow rate. Generally, the refractive index varies approximately linearly with hydrogen flow rate. In particular, the refractive index of the hydrogenated silicon layer produced at a hydrogen flow rate of 80 sccm is greater than 3.55 over the wavelength range of 800 nm to 1120 nm.

FIG. 5D shows a plot of absorption coefficient at wavelengths of 800 nm to 880 nm against hydrogen flow rate for as-deposited hydrogenated silicon layers (the absorption coefficient is less than 0.0001 at wavelengths of 920 nm to 1120 nm). The absorption coefficient decreases with increasing hydrogen flow rate. Generally, the absorption coefficient varies approximately exponentially with hydrogen flow rate. In particular, the absorption coefficient of the hydrogenated silicon layer produced at a hydrogen flow rate of 80 sccm is less than 0.0004 over the wavelength range of 800 nm to 1120 nm.

The improved hydrogenated silicon material, tuned to have suitable optical properties, is used in the optical filter of the present invention. With reference to FIG. 6, the optical filter 600 includes a filter stack 610, which is disposed on a first surface of a substrate 620. In most instances, the substrate 620 is a free-standing substrate, typically, a glass substrate, e.g., a borofloat glass substrate. Alternatively, the substrate 620 may be a sensor or another device. When the substrate 620 is a free-standing substrate, an antireflective (AR) coating 630 is often disposed on a second surface of the substrate 620 opposite the first surface. Typically, the AR coating 630 is a multilayer interference coating, e.g., a Ta₂O₅/SiO₂ coating. Also typically, the AR coating 630 has a thickness of 0.1 μm to 1 μm.

The filter stack 610 includes a plurality of hydrogenated silicon layers 611, which serve as higher-refractive-index layers, and a plurality of lower-refractive-index layers 612 stacked in alternation. Usually, the filter stack 610 consists of a plurality of hydrogenated silicon layers 611 and a plurality of lower-refractive-index layers 612 stacked in a sequence of (H/L)_(n), (H/L)_(n)H, or L(H/L)_(n). Typically, the filter stack 610 includes a total of 10 to 100 layers, i.e., 5≦n≦50. Also typically, the hydrogenated silicon layers 611 and the lower-refractive-index layers 612 each have a thickness of 3 nm to 300 nm, and the filter stack 610 has a thickness of 1 μm to 10 μm. Generally, the layer numbers and thicknesses are selected according to a particular optical design. Preferably, the optical filter 600 has a total coating thickness, i.e., the thickness of the filter stack 610 and the AR coating 630, of less than 10 μm.

The hydrogenated silicon layers 611 are composed of the improved hydrogenated silicon material tuned to have a refractive index of greater than 3 and an extinction coefficient of less than 0.0005 over the wavelength range of 800 nm to 1100 nm. Preferably, the hydrogenated silicon material has a refractive index of greater than 3.5 over the wavelength range of 800 nm to 1100 nm, e.g., a refractive index of greater than 3.64, i.e., about 3.6, at a wavelength of 830 nm. A higher refractive index is usually desirable. However, generally, the hydrogenated silicon material has a refractive index of less than 4.5 over the wavelength range of 800 nm to 1100 nm.

Preferably, the hydrogenated silicon material has an extinction coefficient of less than 0.0004 over the wavelength range of 800 nm to 1100 nm, more preferably, an extinction coefficient of less than 0.0003 over the wavelength range of 800 nm to 1100 nm. Typically, the hydrogenated silicon material has an extinction coefficient of greater than 0.01 at wavelengths of less than 600 nm, preferably, an extinction coefficient of greater than 0.05 at wavelengths of less than 650 nm. Because the hydrogenated silicon material is relatively strongly absorbing at wavelengths of less than 600 nm, an additional blocking stack is not necessary in the optical filter 600.

The lower-refractive-index layers 612 are composed of a lower-refractive-index material having a refractive index lower than that of the hydrogenated silicon layers 611 over the wavelength range of 800 nm to 1100 nm. Typically, the lower-refractive-index material has a refractive index of less than 3 over the wavelength range of 800 nm to 1100 nm. Preferably, the lower-refractive-index material has a refractive index of less than 2.5 over the wavelength range of 800 nm to 1100 nm, more preferably, a refractive index of less than 2 over the wavelength range of 800 nm to 1100 nm.

A lower refractive index is usually desirable for the lower-refractive-index layers 612 to increase the width of the blocking wavelength range, i.e., the stopband, of the optical filter 600, allowing the same blocking level to be achieved with fewer layers in the filter stack 610. However, in some instances, a somewhat higher refractive index that is still lower than that of hydrogenated silicon layers 611 may be desirable to reduce the center-wavelength shift with change in incidence angle, i.e., angle shift, of the optical filter 600.

In most instances, the lower-refractive-index material is a dielectric material, typically, an oxide. Suitable lower-refractive-index materials include silicon dioxide (SiO₂), aluminum oxide (Al₂O₃), titanium dioxide (TiO₂), niobium pentoxide (Nb₂O₅), tantalum pentoxide (Ta₂O₅), and mixtures thereof, i.e., mixed oxides.

The optical filter 600 may be fabricated by using a sputtering process. Typically, the substrate 620 is provided in the vacuum chamber of a sputter-deposition system similar to that illustrated in FIG. 4. The hydrogenated silicon layers 611 and the lower-refractive-index layers 612 are then sequentially deposited on the first surface of the substrate 620 to form the filter stack 610 as a multilayer coating. Typically, the hydrogenated silicon layers 611 are deposited by pulsed-DC sputtering of a silicon target in the presence of hydrogen, as described heretofore. Also typically, the lower-refractive-index layers 612 are deposited by pulsed-DC sputtering of one or more suitable metal targets, e.g., a silicon target, an aluminum target, a titanium target, a niobium target, and/or a tantalum target, in the presence of oxygen. The AR coating 630 is deposited on the second surface of the substrate 620 in a similar fashion. It should be noted that the order of forming the filter stack 610 and the AR coating 630 is usually unimportant.

The optical filter 600 is an interference filter having a passband at least partially overlapping with the wavelength range of 800 nm to 1100 nm. The passband may include the entire wavelength range of 800 nm to 1100 nm or, more typically, only a part of the wavelength range. The passband may be restricted to part or all of the wavelength range of 800 nm to 1100 nm, or may extend beyond the wavelength range. Preferably, the optical filter 600 has a transmittance level, within the passband, of greater than 90% over the wavelength range of 800 nm to 1100 nm.

The optical filter 600 provides blocking outside of the passband, i.e., a stopband on one or both sides of the passband, typically, over a wavelength range of 400 nm to 1100 nm, preferably, over a wavelength range of 300 nm to 1100 nm. Preferably, the optical filter 600 has a blocking level, outside of the passband, of greater than OD2 over the wavelength range of 400 nm to 1100 nm, more preferably, a blocking level of greater than OD3 over the wavelength range of 300 nm to 1100 nm.

In some instances, the optical filter 600 is a long-wavelength-pass edge filter, and the passband has an edge wavelength in the wavelength range of 800 nm to 1100 nm. However, in most instances, the optical filter 600 is a bandpass filter, preferably, a narrow bandpass filter. Typically, the passband has a center wavelength in the wavelength range of 800 nm to 1100 nm. Preferably, the passband has a full width at half maximum (FWHM) of less than 50 nm. Often, the entire passband is within the wavelength range of 800 nm to 1100 nm.

Generally, the optical filter 600 has a low center-wavelength shift with change in incidence angle. Preferably, the center wavelength of the passband shifts by less than 20 nm in magnitude with a change in incidence angle from 0° to 30°. Accordingly, the optical filter 600 has a wide incidence-angle acceptance range.

The optical filter 600 may have a variety of optical designs. In general, the optical design of the optical filter 600 is optimized for a particular passband by selecting suitable layer numbers, materials, and/or thicknesses for the filter stack 610. Some exemplary optical filters, described hereafter, include an Si:H/SiO₂ filter stack and a Ta₂O₅/SiO₂ AR coating, coated on opposite surfaces of a borofloat glass substrate.

With reference to FIG. 7, a first exemplary optical filter is a narrow bandpass filter that is designed to transmit light in a wavelength range of 829 nm to 859 nm over an incidence angle range of 0° to 30°. The first exemplary optical filter of FIG. 7 is comparable to the first conventional optical filter of FIG. 1, and some properties of the optical filters are compared in FIG. 7A. Design data, i.e., layer numbers (from substrate to air), materials, and thicknesses, for the AR coating and the filter stack of the first exemplary filter are listed in FIGS. 7B and 7C, respectively. The filter stack includes 48 layers, the AR coating includes 5 layers, and the total coating thickness is about 5.7 μm.

Transmission spectra 700 and 701 at incidence angles of 0° and 30°, respectively, for the first exemplary optical filter are plotted in FIG. 7D. The first exemplary optical filter has a transmittance level, within the passband, of greater than 90%, and a blocking level, outside of the passband, of greater than OD3 over a wavelength range of 450 nm to 1050 nm. The passband has a center wavelength of about 850 nm and a FWHM of about 46.5 nm at an incidence angle of 0°. With change in incidence angle from 0° to 30°, the center wavelength of the passband shifts by about −12.2 nm.

Advantageously, the first exemplary optical filter of FIG. 7 includes fewer layers and has a smaller total coating thickness than the first conventional optical filter of FIG. 1. In particular, the total coating thickness of the first exemplary optical filter is about one quarter of the total coating thickness of the first conventional optical filter. Therefore, the first exemplary optical filter is less expensive to fabricate and is easier to pattern. Also advantageously, the first exemplary optical filter has a lower center-wavelength shift with change in incidence angle. Therefore, the passband of the first exemplary optical filter can be significantly narrower while accepting light over the same incidence angle range, improving the signal-to-noise ratio of systems incorporating the first exemplary optical filter.

The first exemplary optical filter may also be compared to an analogous optical filter including an Si/SiO₂ filter stack, i.e., a filter stack including non-hydrogenated silicon layers, instead of an Si:H/SiO₂ filter stack. Transmission spectra 710 and 711 at incidence angles of 0° and 30°, respectively, for this optical filter are plotted in FIG. 7E. The transmittance level within the passband of this optical filter is too low to be useful.

With reference to FIG. 8, a second exemplary optical filter is a narrower bandpass filter that is designed to transmit light at a wavelength of 825 nm over an incidence angle range of 0° to 20°. The second exemplary optical filter of FIG. 8 is comparable to the second conventional optical filter of FIG. 2, and some properties of the optical filters are compared in FIG. 8A. Design data for the AR coating of the second exemplary optical filter, which is the same as that of the first exemplary optical filter, are listed in FIG. 7B. Design data for the filter stack of the second exemplary optical filter are listed in FIG. 8B. The filter stack includes 25 layers, the AR coating includes 5 layers, and the total coating thickness is about 3.3 μm.

Transmission spectra 800 and 801 at incidence angles of 0° and 20°, respectively, for the second exemplary optical filter are plotted in FIG. 8C. The second exemplary optical filter has a transmittance level, within the passband, of greater than 90%, and a blocking level, outside of the passband, of greater than OD2 over a wavelength range of 400 nm to 1100 nm. The passband has a center wavelength of about 829 nm and a FWHM of about 29.6 nm at an incidence angle of 0°. With change in incidence angle from 0° to 20°, the center wavelength of the passband shifts by about −7.8 nm.

Similarly to the first exemplary optical filter of FIG. 7, the second exemplary optical filter of FIG. 8, advantageously, includes fewer layers, has a smaller total coating thickness, and has a lower center-wavelength shift with change in incidence angle than the second conventional optical filter of FIG. 2.

The second exemplary optical filter may also be compared to an analogous optical filter including an Si/SiO₂ filter stack instead of an Si:H/SiO₂ filter stack. Transmission spectra 810 and 811 at incidence angles of 0° and 20°, respectively, for this optical filter are plotted in FIG. 8D. The transmittance level within the passband of this optical filter is too low to be useful.

With reference to FIG. 9, a third exemplary optical filter is a narrow bandpass filter that is designed to transmit light over a wavelength range of 845 nm to 865 nm over an incidence angle range of 0° to 40°. The third exemplary optical filter of FIG. 9 is comparable to the third conventional optical filter of FIG. 3. Design data for the AR coating of the third exemplary optical filter, which is the same as that of the first exemplary optical filter, are listed in FIG. 7B. Design data for the filter stack of the third exemplary optical filter are listed in FIG. 9A. The filter stack includes 29 layers, the AR coating includes 5 layers, and the total coating thickness is about 4.8 μm.

Transmission spectra 900 and 901 at incidence angles of 0° and 40°, respectively, for the third exemplary optical filter are plotted in FIG. 9B. The third exemplary optical filter of FIG. 9 has substantially the same passband width as the third conventional optical filter of FIG. 3, but has a slightly lower transmittance level within the passband. Advantageously, however, the third exemplary optical filter accepts light over a considerably larger incidence angle range of 0° to 40° than the third conventional optical filter, which accepts light over an incidence angle range of only 0° to 24°. In other words, the third exemplary optical filter has a significantly wider incidence-angle acceptance range. Also advantageously, the third exemplary optical filter includes fewer layers and has a smaller total coating thickness, about one fifth of the total coating thickness of the third conventional optical filter.

As mentioned heretofore, the optical filter of the present invention is particularly useful when it forms part of a sensor system, such as a proximity sensor system, a 3D imaging system, or a gesture-recognition system. With reference to FIG. 10, a typical sensor system 1000 includes a light source 1010, an optical filter 1020 according to the present invention, and a sensor 1030. Note that other elements commonly included in a sensor system, such as optics, are omitted for simplicity of illustration.

The light source 1010 emits light at an emission wavelength in a wavelength range of 800 nm to 1100 nm. Typically, the light source 1010 emits modulated light, e.g., light pulses. Preferably, the light source 1010 is a light-emitting diode (LED), an LED array, a laser diode, or a laser diode array. The light source 1010 emits light towards a target 1040, which reflects the emitted light back towards the sensor system 1000. When the sensor system 1000 is a gesture-recognition system, the target 1040 is a user of the gesture-recognition system.

The optical filter 1020 is disposed to receive the emitted light after reflection by the target 1040. The optical filter 1020 has a passband including the emission wavelength and at least partially overlapping with the wavelength range of 800 nm to 1100 nm. Typically, the optical filter 1020 is a bandpass filter, preferably, a narrow bandpass filter, as described heretofore. The optical filter 1020 transmits the emitted light from the light source 1010, while substantially blocking ambient light. In short, the optical filter 1020 receives the emitted light from the light source 1010, after reflection by the target 1040, and transmits the emitted light to the sensor 1030.

The sensor 1030 is disposed to receive the emitted light after transmission by the optical filter 1020, i.e., the sensor 1030 is disposed behind the optical filter 1020. In some instances, the optical filter 1020 is formed directly on the sensor 1030 and, thus, disposed on the sensor 1030. For example, the optical filter 1020 may be coated and patterned, e.g., by photolithography, on sensors, e.g., proximity sensors, in wafer level processing (WLP).

When the sensor system 1000 is a proximity sensor system, the sensor 1030 is a proximity sensor, which detects the emitted light to sense a proximity of the target 1040, according to methods known in the art. When the sensor system 1000 is a 3D-imaging system or a gesture-recognition system, the sensor 1030 is a 3D image sensor, e.g., a charge-coupled device (CCD) chip or a complementary metal oxide semiconductor (CMOS) chip, which detects the emitted light to provide a 3D image of the target 1040, which, in some instances, is the user. Typically, the 3D image sensor converts the optical information into an electrical signal for processing by a processing system, e.g., an application-specific integrated circuit (ASIC) chip or a digital signal processor (DSP) chip, according to methods known in the art. For example, when the sensor system 1000 is a gesture-recognition system, the processing system processes the 3D image of the user to recognize a gesture of the user.

Of course, numerous other embodiments may be envisaged without departing from the spirit and scope of the invention. 

1-20. (canceled)
 21. An article, comprising: a plurality of hydrogenated silicon layers, and a plurality of lower-refractive-index layers, wherein the plurality of lower-refractive-index layers include at least one oxide, wherein the article has a passband at least partially overlapping with a wavelength range of 800 nm to 1100 nm.
 22. The article of claim 21, wherein the passband has a center wavelength that shifts by less than 20 nm in magnitude with a change in an incidence angle between 0° to 30°.
 23. The article of claim 21, wherein the passband has a center wavelength that shifts by less than 13 nm in magnitude with a change in an incidence angle between 0° to 30°.
 24. The article of claim 21, wherein the passband has a center wavelength that shifts by about 12.2 nm in magnitude with a change in an incidence angle between 0° to 30°.
 25. The article of claim 21, wherein the plurality of hydrogenated silicon layers have a refractive index of greater than 3.6 at a wavelength of 830 nm.
 26. The article of claim 21, wherein the plurality of lower-refractive-index layers include at least one of silicon dioxide (SiO₂), aluminum oxide (Al₂O₃), titanium dioxide (TiO₂), niobium pentoxide (Nb₂O₅), tantalum pentoxide (Ta₂O₅), or a mixture thereof.
 27. The article of claim 21, wherein at least one of the plurality of hydrogenated silicon layers is larger than at least one of the plurality of lower-refractive-index layers.
 28. The article of claim 21, further comprising: a first filter stack, wherein at least one of the plurality of lower-refractive-index layers is disposed between two hydrogenated silicon layers of the plurality of hydrogenated silicon layers.
 29. The article of claim 28, further comprising: a second filter stack.
 30. An article, comprising: a plurality of hydrogenated silicon layers, and a plurality of lower-refractive-index layers, wherein at least one of the plurality of hydrogenated silicon layers is thicker than at least one of the lower-refractive-index layers.
 31. The article of claim 30, wherein the article has a passband at least partially overlapping with a particular wavelength range.
 32. The article of claim 30, wherein the plurality of hydrogenated silicon layers have a refractive index of greater than 3 over a particular wavelength range.
 33. The article of claim 30, wherein the plurality of hydrogenated silicon layers have an extinction coefficient of less than 0.0005 over a particular wavelength.
 34. The article of claim 30, wherein the plurality of lower-refractive-index layers include at least one oxide.
 35. The article of claim 34, wherein the plurality of lower-refractive-index layers include at least one of silicon dioxide (SiO₂), aluminum oxide (Al₂O₃), titanium dioxide (TiO₂), niobium pentoxide (Nb₂O₅), tantalum pentoxide (Ta₂O₅), or a mixture thereof.
 36. The article of claim 30, wherein the article has a passband that has a center wavelength that shifts by less than 13 nm in magnitude with a change in an incidence angle between 0° to 30°.
 37. The article of claim 30, wherein the article has a passband that has a center wavelength that shifts by about 12.2 nm in magnitude with a change in an incidence angle between 0° to 30°.
 38. The article of claim 30, wherein the plurality of hydrogenated silicon layers have a refractive index of greater than 3.6 at a wavelength of 830 nm.
 39. The article of claim 30, further comprising: a first filter stack, wherein at least one of the plurality of lower-refractive-index layers is disposed between two hydrogenated silicon layers of the plurality of hydrogenated silicon layers.
 40. The article of claim 39, further comprising: a second filter stack.
 41. An optical filter, comprising: a first filter stack on a first side of a substrate, the first filter stack includes alternating layers of hydrogenated silicon and layers of a lower-refractive-index material; and a second filter stack on a second side of the substrate.
 42. The optical filter of claim 41, wherein the second filter stack includes a least one of silicon dioxide (SiO₂) or Tantalum pentoxide (Ta₂O₅).
 43. The optical filter of claim 41, wherein the second filter stack has a thickness of 0.1 μm to 1 μm.
 44. The optical filter of claim 41, wherein the optical filter has a total coating thickness of less than 10 μm.
 45. The optical filter of claim 41, wherein the layers of hydrogenated silicon have a refractive index of greater than 3.6 at a wavelength of 830 nm.
 46. The optical filter of claim 41, wherein at least one of the layers of hydrogenated silicon is thicker than at least one of the layers of the lower-refractive-index material.
 47. An optical filter, comprising a plurality of layers, wherein the plurality of layers include hydrogenated silicon layers and lower-refractive-index layers, and wherein the optical filter has a passband that has a center wavelength that shifts by less than 13 nm in magnitude with a change in an incidence angle between 0° to 30°.
 48. The optical filter of claim 47, wherein the passband shifts by less than 12.5 nm in magnitude with a change in the incidence angle.
 49. The optical filter of claim 47, wherein at least one of the hydrogenated silicon layers is thicker than at least one of the lower-refractive-index layers.
 50. The optical filter of claim 47, wherein a refractive index of the hydrogenated silicon layers is greater than
 3. 